DISTRIBUTIONS OF CHARGED FINE PARTICLES SURROUNDING TWO-DIMENSIONAL BODIES IN THE PRESENCE OF EXTERNAL ELECTRIC FIELDS.

In a recent paper the author presented a potential and stream function analysis of the 2-D steady state convective diffusion equation when the force fields involved can be represented by the gradients of Laplace potentials. It was shown that under such circumstances the convective diffusion equation can be transformed into potential and stream function coordinates and the resulting equation can always be separated into potential and stream function parts. Analytical solutions can be readily obtained. This paper represents an application of the theory. The Brownian diffusion of charged fine particles toward a long conducting cylinder in the presence of a uniform electric field which is unidirectional (hence not radially symmetric) is considered. The same method can be applied to any two-dimensional bodies if the potentials and stream functions are provided.